Question

What is the range of this function?
(3,7)(4,0)(–3,4)(–1,9)(–10,–7)

Answer 1

To find the range of a set of points representing a function, we list the second components (or \(y\)-values) of each ordered pair. The given points are:

- (3, 7) → \(y = 7\)
- (4, 0) → \(y = 0\)
- (–3, 4) → \(y = 4\)
- (–1, 9) → \(y = 9\)
- (–10, –7) → \(y = -7\)

Now, let's extract the \(y\)-values:

- \(7\)
- \(0\)
- \(4\)
- \(9\)
- \(-7\)

Now, we can list these values in order and identify the minimum and maximum values:

- The minimum \(y\)-value is \(-7\).
- The maximum \(y\)-value is \(9\).

Therefore, the range of the function is:

\[
\{-7, 0, 4, 7, 9\}
\]

So, the range is:

\[-7 \leq y \leq 9\]

Or in interval notation, the range can be represented as:

\[-7 \leq y \leq 9\] or \([-7, 9]\).

In summary, the range of the function is \([-7, 9]\).